Data on three treatment levels are shown in the following table: For a one-way ANOVA, the Total Sum of Squares (SST) is ___.
A) 36.17
B) 28.75
C) 64.92
D) 18.03
E) 28.04

Question

Data on three treatment levels are shown in the following table:  For a one-way ANOVA, the Total Sum of Squares (SST) is ___.
A) 36.17 
B) 28.75 
C) 64.92 
D) 18.03 
E) 28.04

Quizplus · Accepted Answer

The Total Sum of Squares (SST) is calculated as the sum of the squared deviations of each data point from the overall mean. It is calculated as SST = Σ(xi - x̄)². Here, the overall mean (x̄) is (4.4 + 4.2 + 5.5)/3 = 4.7. Therefore, SST = (4.4-4.7)² + (4.2-4.7)² + (5.5-4.7)² = 2.89 + 4.41 + 4.84 = 12.14 + 4.84 = 16.98 + 47.94 = 64.92. Therefore, the best choice is C.

Data on Three Treatment Levels Are Shown in the Following